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SVM
Support Vector Machines
Instructions
SVM is a binary classification model whose
basic model is a linear classifier defined in
the eigenspace with the largest interval.
SVMs also include kernel tricks that make
them nonlinear classifiers. The SVM learning
algorithm is the optimal solution to convex
quadratic programming.
2
Linear SVM (1)
“Linear SVM (2)
Straight lines are used to divide data into different classes. Actually, we can use multiple straight
lines to divide data. The core idea of the SVM is to find a straight line and keep the point close to
the straight line as far as possible from the straight line. This can enable strong generalization
capability of the model. These points are called support vectors. In two-dimensional space, we use
straight lines for segmentation. In high-dimensional space, we use hyperplanes for segmentation.
4
Linear SVM can function well for
linear separable datasets.
Nonlinear SVM (1)
Nonlinear datasets cannot be split
with straight lines
5
Nonlinear SVM (2)
• Kernel functions are used to construct nonlinear SVMs. Kernel
functions allow algorithms to fit the largest hyperplane in a
transformed highdimensional feature space.
6
7
Thanks!
Any questions?
You can find me at @username & user@mail.me

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Kate · SlidesCarnival.pptx

  • 2. Instructions SVM is a binary classification model whose basic model is a linear classifier defined in the eigenspace with the largest interval. SVMs also include kernel tricks that make them nonlinear classifiers. The SVM learning algorithm is the optimal solution to convex quadratic programming. 2
  • 4. “Linear SVM (2) Straight lines are used to divide data into different classes. Actually, we can use multiple straight lines to divide data. The core idea of the SVM is to find a straight line and keep the point close to the straight line as far as possible from the straight line. This can enable strong generalization capability of the model. These points are called support vectors. In two-dimensional space, we use straight lines for segmentation. In high-dimensional space, we use hyperplanes for segmentation. 4
  • 5. Linear SVM can function well for linear separable datasets. Nonlinear SVM (1) Nonlinear datasets cannot be split with straight lines 5
  • 6. Nonlinear SVM (2) • Kernel functions are used to construct nonlinear SVMs. Kernel functions allow algorithms to fit the largest hyperplane in a transformed highdimensional feature space. 6
  • 7. 7 Thanks! Any questions? You can find me at @username & user@mail.me